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Finding the Fourth Proportional to 3,012.32, 4,518.27 and 821.27

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Solution

The fourth proportional to 3,012.32, 4,518.27 and 821.27 is: 1,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.32 : 4,518.27 = 821.27 : x
  2. Step 2: Convert to fraction form
    3,012.32/4,518.27 = 821.27/x
  3. Step 3: Cross multiply
    3,012.32x = 4,518.27 × 821.27
  4. Step 4: Simplify right side
    3,012.32x = 3,710,697.01
  5. Step 5: Solve for x
    x = 3,710,697.01/3,012.32
  6. Step 6: Final answer
    x = 1,231.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.